Describe the level curves of the function. z = x² + 3y² The level curves are circles. The level curves are ellipses. The level curves are parabolas. The level curves are hyperbolas. Sketch the level curves for the given c-values. + c = 0, 5, 7, 9, 11, 13 4 -15 -10 -15 -10 10- 4 -10 -15 15- 10- 4 -10- -15 10 15 15

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 46E
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Describe the level curves of the function.
z = x² + 3y²
The level curves are circles.
The level curves are ellipses.
The level curves are parabolas.
The level curves are hyperbolas.
Sketch the level curves for the given c-values.
O
c = 0, 5, 7, 9, 11, 13
+
-15
-10
-15 -10
y
y
15-
10-
5-
G
-10-
-15
15-
10-
5-
-10
-15
X
10
15
15
Transcribed Image Text:Describe the level curves of the function. z = x² + 3y² The level curves are circles. The level curves are ellipses. The level curves are parabolas. The level curves are hyperbolas. Sketch the level curves for the given c-values. O c = 0, 5, 7, 9, 11, 13 + -15 -10 -15 -10 y y 15- 10- 5- G -10- -15 15- 10- 5- -10 -15 X 10 15 15
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